428759604801 has 32 divisors (see below), whose sum is σ = 707688345600. Its totient is φ = 254325482640.

The previous prime is 428759604769. The next prime is 428759604803. The reversal of 428759604801 is 108406957824.

It is a happy number.

428759604801 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 596 + 0 + 48 + 0 + 1 = 666.

It is not a de Polignac number, because 428759604801 - 2⁵ = 428759604769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428759604803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15343861 + ... + 15371778.

It is an arithmetic number, because the mean of its divisors is an integer number (22115260800).

Almost surely, 2^428759604801 is an apocalyptic number.

It is an amenable number.

428759604801 is a deficient number, since it is larger than the sum of its proper divisors (278928740799).

428759604801 is a wasteful number, since it uses less digits than its factorization.

428759604801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30715706 (or 30715700 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 428759604801 in words is "four hundred twenty-eight billion, seven hundred fifty-nine million, six hundred four thousand, eight hundred one".